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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exp. Prime Factor Digits Year
3470891624760398 ~1984
347105969421197 ~1982
3471317485984398 ~1984
3471569277725538 ~1984
3471607624889278 ~1984
3471617208297038 ~1983
347171969434397 ~1982
34718831458190879 ~1985
347195969439197 ~1982
34722236458334799 ~1987
3472247625004478 ~1984
3472319625017438 ~1984
3472349833363778 ~1985
347249969449997 ~1982
347252369450477 ~1982
347258369451677 ~1982
347273969454797 ~1982
3472883902949598 ~1985
3472951625131198 ~1984
347297969459597 ~1982
3473033208381998 ~1983
3473221208393278 ~1983
3473297277863778 ~1984
34732971875580399
3473753208425198 ~1983
Exp. Prime Factor Digits Year
347407169481437 ~1982
3474167625350078 ~1984
3474257208455438 ~1983
34742571320217679
347432369486477 ~1982
347459969491997 ~1982
3474599277967938
347462369492477 ~1982
3474631625433598 ~1984
3474719277977538 ~1984
3474797277983778 ~1984
34748936324305279 ~1987
347489969497997 ~1982
3475057208503438 ~1983
347507969501597 ~1982
3475229278018338 ~1984
34752491390099619 ~1985
3475579625604238 ~1984
3475601442096447310 ~1989
34756391459768399 ~1985
3475699347569918 ~1984
347573969514797 ~1982
34757811042734319 ~1985
3475873208552398 ~1983
34758771042763119 ~1985
Exp. Prime Factor Digits Year
3475903347590318 ~1984
3476159278092738 ~1984
347630369526077 ~1982
3476413764810878 ~1985
3476477486706798 ~1984
347701169540237 ~1982
347720369544077 ~1982
3477527278202178 ~1984
34775691321476239 ~1985
3477839278227138 ~1984
3477967626034078 ~1984
34780614451918099 ~1986
3478147626066478 ~1984
347819969563997 ~1982
347828369565677 ~1982
34784931043547919 ~1985
3478621556579378 ~1984
34786211669738099
34786611043598319 ~1985
347867969573597 ~1982
3478747347874718 ~1984
347876369575277 ~1982
3478949278315938 ~1984
3479083556653298 ~1984
3479537208772238 ~1983
Exp. Prime Factor Digits Year
3479627835110498 ~1985
3479677208780638 ~1983
34796991670255539 ~1985
347977169595437 ~1982
3479897487185598 ~1984
347999969599997 ~1982
3480011626401998 ~1984
3480161208809678 ~1983
3480341278427298 ~1984
3480353208821198 ~1983
348044369608877 ~1982
3480647278451778 ~1984
348079169615837 ~1982
3480913556946098 ~1984
3481117208867038 ~1983
348113969622797 ~1982
3481147348114718 ~1984
3481273557003698 ~1984
348139169627837 ~1982
348140369628077 ~1982
3481477208888638 ~1983
3481573208894398 ~1983
3481781208906878 ~1983
3481927626746878 ~1984
34819673342688339 ~1986
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25-05-04